Cremona's table of elliptic curves

11400 = 2³ · 3 · 5² · 19

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 19-	Signs for the Atkin-Lehner involutions
Class	11400h	Isogeny class
Conductor	11400	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	115200	Modular degree for the optimal curve
Δ	-1822576909500000000 = -1 · 28 · 312 · 59 · 193	Discriminant
Eigenvalues	2+ 3+ 5-  2 -4 -2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,164292,59627412]	[a1,a2,a3,a4,a6]
Generators	[11406:1218888:1]	Generators of the group modulo torsion
j	980844844912/3645153819	j-invariant
L	3.8466298236786	L(r)(E,1)/r!
Ω	0.18782788955288	Real period
R	3.4132575952338	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	22800bj1 91200ef1 34200cz1 11400bo1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11400h1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	-	2	-4	-2	0	-	-2	2	0	-2	2	6	6	2	12	2	-4	-4	-4	-8	14	-6	-2

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Quadratic twists for elliptic curve 11400h1

-4	8	-3	5
22800bj1	91200ef1	34200cz1	11400bo1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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